The probability P, as a percent, that a certain computer keyboard in a public library will last more than t years can be approximated by P = 100e-1.2t (a) What is the probability that the keyboard will last more than 3 years? Round to the nearest tenth. 2.7 2.7 % (b) After how many years will the probability of keyboard failure be 95%? Round to the nearest tenth. X 2.5 yr

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Chapter1: Combinatorial Analysis
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For part b, how was the answer 2.5 years derived from this equation? 

The probability P, as a percent, that a certain computer keyboard in a public library will last more than t years can be approximated by P = 100e-1.2t
(a) What is the probability that the keyboard will last more than 3 years? Round to the nearest tenth.
2.7
2.7 %
(b) After how many years will the probability of keyboard failure be 95%? Round to the nearest tenth.
X
2.5 yr
Transcribed Image Text:The probability P, as a percent, that a certain computer keyboard in a public library will last more than t years can be approximated by P = 100e-1.2t (a) What is the probability that the keyboard will last more than 3 years? Round to the nearest tenth. 2.7 2.7 % (b) After how many years will the probability of keyboard failure be 95%? Round to the nearest tenth. X 2.5 yr
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